Elliptic Curve Isogeny Class 23.1-a over Number Field 5.5.24217.1

• Base field: 5.5.24217.1
• Label: 5.5.24217.1-23.1-a
• Conductor: 23.1
• Rank: not recorded

Base field 5.5.24217.1

Generator \(a\), with minimal polynomial \( x^{5} - 5 x^{3} - x^{2} + 3 x + 1 \); class number \(1\).

Elliptic curves in class 23.1-a over 5.5.24217.1

Isogeny class 23.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
23.1-a1	\( \bigl[-a^{4} + a^{3} + 5 a^{2} - 2 a - 3\) , \( -3 a^{4} + a^{3} + 15 a^{2} - 2 a - 8\) , \( 0\) , \( -2 a^{4} + 2 a^{3} + 10 a^{2} - 2 a - 6\) , \( 17 a^{4} - 6 a^{3} - 81 a^{2} + 13 a + 45\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph